New thermodynamic identities for five-dimensional black holes

Hari K. Kunduri, James Lucietti

Research output: Contribution to journalLetterpeer-review


We derive new identities for the thermodynamic variables of five-dimensional,
asymptotically flat, stationary and biaxisymmetric vacuum black holes. These
identities depend on the topology of the solution and include contributions arising from certain topological charges. The proof employs the harmonic map formulation of the vacuum Einstein equations for solutions with these symmetries.
Original languageEnglish
Number of pages10
JournalClassical and quantum gravity
Issue number07LT02 (9pp)
Early online date22 Feb 2019
Publication statusPublished - 12 Mar 2019


  • general relativity in higher dimensions, black hole


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